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CAT 2025 Set-1 | Quantitative Aptitude | Question-19

The ratio of the number of students in the morning shift and afternoon shift of a school was $13: 9$. After $21$ students moved from the morning shift to the afternoon shift, this ratio became $19: 14$. Next, some new students joined the morning and afternoon shifts in the ratio $3: 8$ and then the ratio of the number of students in the morning shift and the afternoon shift became $5: 4$. The number of new students who joined is

  1. $110$
  2. $88$
  3. $121$
  4. $99$

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